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Expansion of log(1+log(1+x))*cosh(x).
1

%I #19 Jun 21 2015 21:49:17

%S 0,1,-2,10,-47,303,-2389,22622,-249724,3150109,-44706126,705095994,

%T -12235794207,231698450475,-4754358750933,105087911110062,

%U -2489277413102144,62908278710542137,-1689451592993832258,48047639078438987082,-1442565756163540276727

%N Expansion of log(1+log(1+x))*cosh(x).

%H Alois P. Heinz, <a href="/A009314/b009314.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) ~ (n-1)! * (-1)^(n+1) * cosh(1-exp(-1)) / (1-exp(-1))^n. - _Vaclav Kotesovec_, Jan 22 2015

%t With[{nn=30},CoefficientList[Series[Log[1+Log[1+x]]*Cosh[x],{x,0,nn}], x] Range[0,nn]!] (* _Harvey P. Dale_, Oct 20 2012 *)

%K sign,easy

%O 0,3

%A _R. H. Hardin_

%E Extended with signs by _Olivier Gérard_, Mar 15 1997